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Simplifying -1x + -22 = 4(x + 5) + 8 Reorder the terms: -22 + -1x = 4(x + 5) + 8 Reorder the terms: -22 + -1x = 4(5 + x) + 8 -22 + -1x = (5 * 4 + x * 4) + 8 -22 + -1x = (20 + 4x) + 8 Reorder the terms: -22 + -1x = 20 + 8 + 4x Combine like terms: 20 + 8 = 28 -22 + -1x = 28 + 4x Solving -22 + -1x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + -1x + -4x = 28 + 4x + -4x Combine like terms: -1x + -4x = -5x -22 + -5x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + -5x = 28 + 0 -22 + -5x = 28 Add '22' to each side of the equation. -22 + 22 + -5x = 28 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 28 + 22 -5x = 28 + 22 Combine like terms: 28 + 22 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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